The Smallest Convex Cover for Triangles of Perimeter Two |
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| Authors: | Zoltan Füredi John E Wetzel |
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| Institution: | (1) Mathematics Institute, Hungarian Academy of Sciences, POB 127, 1364 Budapest, Hungary;(2) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL, 61801, U.S.A. |
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| Abstract: | We find the unique smallest convex region in the plane that contains a congruent copy of every triangle of perimeter two. It is the triangle ABC with AB=2/3,  B=60°, and BC 1.00285. |
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| Keywords: | worm problems convex covers isoperimetric triangles |
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